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20637225414 = 23313732831423
BaseRepresentation
bin10011001110000100…
…110001000111000110
31222021020120200012000
4103032010301013012
5314231112203124
613251451210130
71330260343641
oct231604610706
958236520160
1020637225414
1188301a29a3
123bbb446946
131c3b7081b0
14ddab9ca58
1580bb8d6c9
hex4ce1311c6

20637225414 has 128 divisors (see below), whose sum is σ = 50276997120. Its totient is φ = 6236414208.

The previous prime is 20637225409. The next prime is 20637225443. The reversal of 20637225414 is 41452273602.

20637225414 is a `hidden beast` number, since 2 + 0 + 637 + 2 + 2 + 5 + 4 + 14 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14501907 + ... + 14503329.

It is an arithmetic number, because the mean of its divisors is an integer number (392789040).

Almost surely, 220637225414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20637225414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25138498560).

20637225414 is an abundant number, since it is smaller than the sum of its proper divisors (29639771706).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20637225414 is a wasteful number, since it uses less digits than its factorization.

20637225414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

It can be divided in two parts, 20637 and 225414, that added together give a triangular number (246051 = T701).

The spelling of 20637225414 in words is "twenty billion, six hundred thirty-seven million, two hundred twenty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 73 78 117 146 219 234 283 351 438 566 657 702 849 949 1314 1423 1698 1898 1971 2547 2846 2847 3679 3942 4269 5094 5694 7358 7641 8538 8541 11037 12807 15282 17082 18499 20659 22074 25614 25623 33111 36998 38421 41318 51246 55497 61977 66222 76842 99333 103879 110994 123954 166491 185931 198666 207758 268567 311637 332982 371862 402709 499473 537134 557793 623274 805418 805701 934911 998946 1115586 1208127 1350427 1611402 1869822 2416254 2417103 2700854 2804733 3624381 4051281 4834206 5235217 5609466 7248762 7251309 8102562 10470434 10873143 12153843 14502618 15705651 21746286 24307686 29397757 31411302 36461529 47116953 58795514 72923058 88193271 94233906 141350859 176386542 264579813 282701718 382170841 529159626 764341682 793739439 1146512523 1587478878 2293025046 3439537569 6879075138 10318612707 20637225414